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- W2045989634 abstract "We show that if G is a finite group with triality S and L is the corresponding Moufang loop with P1, P2 ∈ Sylp(L) for a ‘Sylow prime’ p then there exist p-subgroups Q1, Q2 ⩽ G that are conjugate in G such that Qi is invariant under S and Pi is the corresponding Moufang loop for i ∈ {1, 2}. If L is simple, or if 3 does not divide |L|, then the elements of {G(P) ⩽ G| P ∈ Sylp(L)} are conjugate in G and can be permuted transitively by CG(S), hence |Sylp(L)| divides |CG(S)|." @default.
- W2045989634 created "2016-06-24" @default.
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- W2045989634 date "2010-01-01" @default.
- W2045989634 modified "2023-09-26" @default.
- W2045989634 title "The conjugacy of triality subgroups of Sylow subloops of Moufang loops" @default.
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- W2045989634 doi "https://doi.org/10.1515/jgt.2010.026" @default.
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